We complete the study of the regularity for Trudinger's equation by proving that weak solutions are Hölder continuous also in the singular case. The setting is that of a measure space with a doubling non-trivial Borel measure supporting a Poincaré inequality. The proof uses the Harnack inequality and intrinsic scaling.
|Number of pages||37|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - Sep 2012|
|MoE publication type||A1 Journal article-refereed|